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Finding the Fourth Proportional to 176.55, 233.10 and 176.55

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Solution

The fourth proportional to 176.55, 233.10 and 176.55 is: 233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.55 : 233.10 = 176.55 : x
  2. Step 2: Convert to fraction form
    176.55/233.10 = 176.55/x
  3. Step 3: Cross multiply
    176.55x = 233.10 × 176.55
  4. Step 4: Simplify right side
    176.55x = 41,153.81
  5. Step 5: Solve for x
    x = 41,153.81/176.55
  6. Step 6: Final answer
    x = 233.10

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.